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In which proof does finding both (p) and (q) even give the final contradiction?किस प्रमाण में (p) और (q) दोनों सम मिलना अंतिम विरोधाभास देता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: In the irrationality of (\sqrt{2})(\sqrt{2}) की अपरिमेयता में
Step 1: In the proof of (\sqrt{2}), (p^2=2q^2) is obtained. Step 2: This proves both (p) and (q) even. Step 3: Both even contradict the coprime condition.चरण 1: (\sqrt{2}) के प्रमाण में (p^2=2q^2) मिलता है। चरण 2: इससे (p) और (q) दोनों सम सिद्ध होते हैं। चरण 3: दोनों सम होना सहअभाज्य शर्त से विरोधाभास है।
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